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arXiv · hep-th/9912058

On RG-flow and the Cosmological Constant

Erik Verlinde
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Abstract

The AdS/CFT correspondence implies that the effective action of certain strongly coupled large $N$ gauge theories satisfy the Hamilton-Jacobi equation of 5d gravity. Using an analogy with the relativistic point particle, I construct a low energy effective action that includes the Einstein action and obeys a Callan-Symanzik-type RG-flow equation. It follows from the flow equation that under quite general conditions the Einstein equations admit a flat space-time solution, but other solutions with non-zero cosmological constant are also allowed. I discuss the geometric interpretation of this result in the context of warped compactifications.

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Erik Verlinde. 1999-12-13. On RG-flow and the Cosmological Constant. https://doi.org/10.1088/0264-9381%2F17%2F5%2F337

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